An office machine is purchased for ​$6400. Assume that its salvage​ value, V, in​ dollars, depreciates, according to a method called double declining​ balance, by 40​% each year and is given by V(t)=6400(0.60)t​, where t is the​ time, in​ years, after purchase.   ​a) Find V(9)​, and explain its meaning. ​b) Find V′(9)​, and explain its meaning. ​c) When will the salvage value of the office machine be half of the purchase​ price

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
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An office machine is purchased for
​$6400.
Assume that its salvage​ value, V, in​ dollars, depreciates, according to a method called double declining​ balance, by
40​%
each year and is given by
V(t)=6400(0.60)t​,
where t is the​ time, in​ years, after purchase.
 
​a) Find
V(9)​,
and explain its meaning.
​b) Find
V′(9)​,
and explain its meaning.
​c) When will the salvage value of the office machine be half of the purchase​ price?
 
 
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